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Related Concept Videos

Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
Phasor Arithmetics01:13

Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular frequency.

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Related Experiment Video

Updated: Jun 20, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Shor's quantum factoring algorithm on a photonic chip.

Alberto Politi1, Jonathan C F Matthews, Jeremy L O'Brien

  • 1Centre for Quantum Photonics, H. H. Wills Physics Laboratory and Department of Electrical and Electronic Engineering, University of Bristol, Merchant Venturers Building, Woodland Road, Bristol BS8 1UB, UK.

Science (New York, N.Y.)
|September 5, 2009
PubMed
Summary
This summary is machine-generated.

Researchers demonstrate Shor's quantum factoring algorithm on a chip, factoring the number 15. This quantum computing breakthrough offers exponential speedup for prime factorization, crucial for future information security.

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Last Updated: Jun 20, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

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12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

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Area of Science:

  • Quantum Computing
  • Information Security
  • Quantum Algorithms

Background:

  • Shor's algorithm provides exponential speedup for factoring large numbers.
  • Factoring is critical for modern cryptography and internet security.
  • Quantum computers, utilizing qubits, superposition, and entanglement, are needed for Shor's algorithm.

Purpose of the Study:

  • To demonstrate a compiled version of Shor's quantum factoring algorithm.
  • To perform prime factorization of the number 15 using a quantum computation.
  • To showcase the feasibility of implementing quantum algorithms on integrated photonic chips.

Main Methods:

  • Development of an integrated waveguide silica-on-silicon chip.
  • Guidance of four single-photon qubits through the quantum computation.
  • Compilation and execution of Shor's algorithm on the fabricated quantum chip.

Main Results:

  • Successful demonstration of Shor's algorithm for factoring 15.
  • Experimental validation of quantum computation on a compact photonic chip.
  • Achieved factorization using four qubits and integrated photonics.

Conclusions:

  • The study confirms the potential of integrated photonic quantum computing.
  • Demonstrates a practical step towards realizing quantum computers for security applications.
  • Highlights the viability of waveguide-based quantum circuits for complex algorithms.